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Simplifying 3w + -6 = w + -15 Reorder the terms: -6 + 3w = w + -15 Reorder the terms: -6 + 3w = -15 + w Solving -6 + 3w = -15 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -6 + 3w + -1w = -15 + w + -1w Combine like terms: 3w + -1w = 2w -6 + 2w = -15 + w + -1w Combine like terms: w + -1w = 0 -6 + 2w = -15 + 0 -6 + 2w = -15 Add '6' to each side of the equation. -6 + 6 + 2w = -15 + 6 Combine like terms: -6 + 6 = 0 0 + 2w = -15 + 6 2w = -15 + 6 Combine like terms: -15 + 6 = -9 2w = -9 Divide each side by '2'. w = -4.5 Simplifying w = -4.5
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